The covariance matrix of the Potts model: a random cluster analysis.

DOI10.1007/BF02183383zbMath1042.82510arXivadap-org/9411001MaRDI QIDQ1593377

Christian Borgs, Jennifer T. Chayes

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/adap-org/9411001

zbMATH Keywords

covariance matrixcorrelation inequalitiescorrelation lengthPotts modelrandom cluster modelFortuin-Kasteleyn representationAmplitude ratiosWidom scaling

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Explicit isoperimetric constants and phase transitions in the random-cluster model, Mixing properties and exponential decay for lattice systems in finite volumes., Graphical representations for Ising and Potts models in general external fields, BK-type inequalities and generalized random-cluster representations, Phase transitions on nonamenable graphs, Gibbs states of graphical representations of the Potts model with external fields, A planar Ising model of self-organized criticality, Entropy for translation-invariant random-cluster measures, Color representations of Ising models

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